Permanence and Stability of a Kill the Winner Model in Marine Ecology

Bull Math Biol. 2017 May;79(5):995-1004. doi: 10.1007/s11538-017-0265-6. Epub 2017 Mar 27.

Abstract

We focus on the long-term dynamics of "killing the winner" Lotka-Volterra models of marine communities consisting of bacteria, virus, and zooplankton. Under suitable conditions, it is shown that there is a unique equilibrium with all populations present which is stable, the system is permanent, and the limiting behavior of its solutions is strongly constrained.

Keywords: Bacteria; Infection network; Kill the winner; Lotka–Volterra system; Parasite-mediated coexistence; Permanence; Virus; Zooplankton.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Aquatic Organisms*
  • Bacteria
  • Ecosystem*
  • Food Chain
  • Mathematical Concepts
  • Microbial Consortia
  • Models, Biological*
  • Viruses
  • Zooplankton